Structure and reaction dynamics of zirconium in the relativistic mean field model

Abstract

In the framework of relativistic mean field theory using NL3, NL3*, NLSH, DD-PC1 and DD-ME2 parameter sets, the ground state binding energy, charge radius, quadrupole deformation parameter of three key isotopes of Zr, i.e., 90,92,94Zr has been studied. The results are compared with the experimental data and are found in reasonable agreement. The two-neutron separation energy and β-decay half-life of these isotopes are also evaluated. Total reaction and elastic differential scattering cross-section are also studied for these isotopes as projectile with 12C as target, using above parameter sets in conjunction with Glauber model and results are compared with the experimental data. All these investigations support the abundance of these three isotopes of zirconium.